Geometrical problems deducible from the first six books of Euclid, arranged and solved. To which is added, an appendix containing the elements of plane trigonometryJ. Smith, Printer to the University; and sold by Nicholson & Son, Deighton & Sons, Thorpe, and Newby, Cambridge; and J. Mawman, and F. C. & J. Rivington, London., 1819 - 377 sider |
Fra bogen
Resultater 1-5 af 84
Side i
... a given point , to draw a straight line so that the parts of it intercepted between that point and perpendiculars drawn from two other given points may have a given ratio . a 9. From a given point between two indefinite straight lines.
... a given point , to draw a straight line so that the parts of it intercepted between that point and perpendiculars drawn from two other given points may have a given ratio . a 9. From a given point between two indefinite straight lines.
Side ii
... intercepted between the two parallel lines may have a given ratio to the part intercepted between the given point and the other line . 14. Two parallel lines being given in position ; to draw a third such , that if from any point in it ...
... intercepted between the two parallel lines may have a given ratio to the part intercepted between the given point and the other line . 14. Two parallel lines being given in position ; to draw a third such , that if from any point in it ...
Side iii
... intercepted between it and the given point together with the first drawn line may be equal to a given line . 26. One of the lines which contain a given angle is also given . To determine a point in it such that if from thence to the ...
... intercepted between it and the given point together with the first drawn line may be equal to a given line . 26. One of the lines which contain a given angle is also given . To determine a point in it such that if from thence to the ...
Side iv
... intercepted between those points and the lines may have a given ratio . 30. The length of one of two lines which contain a given angle being given ; to draw , from a given point without them , a straight line which shall cut the given ...
... intercepted between those points and the lines may have a given ratio . 30. The length of one of two lines which contain a given angle being given ; to draw , from a given point without them , a straight line which shall cut the given ...
Side v
... intercepted within the circle are equal . 3. Of all straight lines which can be drawn from two given points to meet on the convex circumference of a given circle ; the sum of those two will be the least , which make equal angles with ...
... intercepted within the circle are equal . 3. Of all straight lines which can be drawn from two given points to meet on the convex circumference of a given circle ; the sum of those two will be the least , which make equal angles with ...
Indhold
1 | |
6 | |
12 | |
17 | |
19 | |
23 | |
25 | |
30 | |
140 | |
146 | |
147 | |
154 | |
157 | |
158 | |
164 | |
170 | |
36 | |
42 | |
43 | |
47 | |
52 | |
58 | |
63 | |
65 | |
69 | |
75 | |
80 | |
86 | |
87 | |
91 | |
92 | |
97 | |
103 | |
109 | |
114 | |
120 | |
126 | |
134 | |
171 | |
177 | |
179 | |
185 | |
191 | |
193 | |
199 | |
203 | |
209 | |
212 | |
218 | |
220 | |
226 | |
232 | |
237 | |
244 | |
249 | |
255 | |
273 | |
295 | |
301 | |
Andre udgaver - Se alle
Almindelige termer og sætninger
ABCD angle ABC angles at F base centre chord circle ABC circles cut circles touch circumference describe a circle divided draw a line Draw the diameter drawn parallel duplicate ratio equal angles equiangular Eucl extremities given angle given circle given in position given line given point given ratio given square given straight line given triangle intercepted isosceles triangle Join AE Join BD Let AB Let ABC let fall line given line joining line required lines be drawn lines drawn mean proportional opposite side parallel to BC parallelogram pendicular perpen point of bisection point of contact point of intersection point required radius rectangle rectangle contained right angles segments semicircle shewn tangent touches the circle trapezium triangle ABC